Answer to Question #26044 in Mechanics | Relativity for kanyfils
The sun appears to move across the sky, because the earth spins on its axis. To a person standing on the earth, the sun subtends an angle of 9.28*0.001 rad. How much time (in seconds) does it take for the sun to move a distance equal to its own diameter?
Travelling a distance equal to its own diameter equals travelling the angle of 9.28*0.001 rad. the angular velocity ofsun is equal to the angular velocity of Earth: w = 2*pi/T T - period = twenty-fourhours pi = 3.14 rad angle = w*t t - time Thefore: t = angle/w In our case, angle= 9.28*0.001 rad t = 9.28*0.001 / (2*pi/24*3600sec ) = 9.28*0.001*24*3600/2/3.14 sec = 127.7 sec Answer: t = 127.7sec